Western sanctions have begun to take a toll on Moscow’s petroleum output.
Brent crude, the world benchmark, gained 1% on the day.
The limited changes will allow Chevron Corp to negotiate its licence with the state-owned oil company, Petroleos de Venezuela.
Oil prices slumped 3% on Monday.
Surging cases of the Omicron coronavirus variant raised fears new curbs may hit fuel demand.
Commercial oil stocks in the United States last week decreased by 4.5 million barrels.
The situation with oil prices has not demonstrated stability over the past 4 months.
Over the past week, world oil quotations have experienced serious volatility.
After trading on September 16, the futures of benchmark oil, Brent and WTI increased by 12.4% and 14.7% respectively
U.S. petroleum and natural gas production increased by 16% and by 12%, respectively, in 2018.